Nû 4 - x X X dx

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A: Given, .we know, .

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Q: 3. For the function g whose graph is given, state the following. (a) lim g(x) (b) lim+g(x) = x48 (c)…

A: Note:-As per your demand we solve question 3 for you The condition of existence of limit at

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Q: Answer using the following polynomial using remainder theorem. Show your solutions. f(x) = 4x5 -…

A: To answer the following polynomial by using remainder theorem.

Q: 61. The graph of y = (x²)* has two horizontal tangent lines. Find equations for both of them.

A: The equation of curve is As we know When the tangent line is horizontal to the curve then its slope…

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A: Using tangent line approximation, we can find the required values.

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Q: The integral in this exercise converges. Evaluate the integral without using a table. 50⁰ 0 3dx (25…

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Q: Find the value of such that when 0 < x-2 | < 6 then [(5x-6) - 4 | < 0.1 Sh.

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Q: Find the area of the surface. The portion of the plane z = 6 - 3x - 2y in the first octant 6√14

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Q: The total cost for a certain business, in thousands of dollars, is C(t) = 260-65e-t where t is equal…

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Q: 1. Find the derivative for each of the following functions. You need not simplify your answers. ex…

A: Student only asked 1(d).Given,  h(x)=sin(cosx)+sinxcosx.Formula of derivatives:

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Q: Approximate cos(1.5) using a quadratic approximation:  First note that cos(1.5) ≈ cos(pi/2). Let…

A: To approximate cos(1.5) using a quadratic approximation.

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Q: he vector v = , is tangent to the surface x2 + 2y3 - 3z2 = 3 at the point (2, 1, 1).  Find a.

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A: The perimeter of a rectangle is  where  is the length and  is width.The perimeter equals 1700…

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Q: 2. Use substitution to factor 3(x-1)² - 4(x-1)-7.

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Q: For these problems, use this formula for compounding interest continuously. Round answer to 2…

A: we need to find out the time it takes for the amount to become $5800 to double.

Q: a. x 2 b. C. lim f(x) d. lim f(x): x+2+ = lim f(x): x 2 Consider the graph of the function y = f (x)…

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Q: : Given a continuous function f(x) where f(4) = 3 and f(10) = 12, which of the following equations…

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Q: The general solution to the differential equation, y" (x) = 6x +1 is Oy=x³+²+₁x + C₂ Oy = x³ + + C₁…

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Q: 6. Find the sine and cosine of the angle that the point (3/5, 4/5) on the unit circle makes with the…

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Q: Find the following derivatives. z and Z₁, where z = 5x + 5y, x= 4st, and y = 5s + 6t Zs (Type an…

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Q: Find the following for the function​ f(x) = x/x^2 +1  (h) f(x+h) please help me with this question

A: In this question, we will find f(x+h).

Q: Evaluate the integral using Pattial Fraction method (x²+7) dx (x²+2)(x-2) S&

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Q: Give the Taylor series for sin x about xo = 2

A: To give the Taylor series for .

Q: The derivative of a function f(x) at x = a is given by √√1+h-1 h lim h→0 Find f(x) and a. f(x) =

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Q: 1. Write a double integral ff f(x,y) dA which gives the volume of the top half of a solid ball of…

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A: According to our guidelines, we can only answer first question. Kindly re-post other remaining…

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Q: find: The center of the area for the shaded region.

A: We are given with function and find the area of the shaded region

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Q: 2. Expand the logarithmic expression: In x 2-4

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